Quantum versus Chaos: Questions Emerging from Mesoscopic by K. Nakamura

By K. Nakamura

Quantum and chaos, key options in modern technology, are incompatible by way of nature. This quantity offers an research into quantum delivery in mesoscopic or nanoscale structures that are classically chaotic and indicates the luck and failure of quantal, semiclassical, and random matrix theories in facing questions rising from the mesoscopic cosmos. those conventional theories are severely analysed, and this results in a brand new path. To reconcile quantum with chaos and to revive real temporal chaos in quantum platforms, a time-discrete variation of quantum dynamics is proposed. Audience:This booklet could be of curiosity to graduate scholars and researchers in physics, chemistry and arithmetic, whose paintings contains primary questions of quantum mechanics in chaotic structures.

Show description

Read Online or Download Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos PDF

Similar quantum physics books

Quantum mechanics: an empiricist's view

After introducing the empiricist perspective in philosophy of technological know-how, and the thoughts and strategies of the semantic method of clinical theories, van Fraassen discusses quantum idea in 3 levels. He first examines the query of even if and the way empirical phenomena require a non-classical concept, and how much idea they require.

Foundations of Quantum Mechanics I

This booklet is the 1st quantity of a two-volume paintings at the Foundations of Quantum Mechanics, and is meant as a brand new variation of the author's publication Die Grundlagen der Quantenmechanik [37] which used to be released in 1954. during this two-volume paintings we are going to search to procure a much better formula of the translation of quantum mechanics in line with experiments.

Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos

Quantum and chaos, key thoughts in modern technology, are incompatible by means of nature. This quantity offers an research into quantum delivery in mesoscopic or nanoscale structures that are classically chaotic and exhibits the luck and failure of quantal, semiclassical, and random matrix theories in facing questions rising from the mesoscopic cosmos.

Additional resources for Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos

Sample text

8), and I show that for certain operators O is unnecessary because matrix elements hˆjPOPjˆi=hˆjOjˆi are independent of the projection. The four different Majorana fermions, Eq. 5), can be combined into two complex fermions, see Fig. 2 for an illustration. First, bond fermions (Baskaran et al. 2007; Yao et al. 1 Exact Solution and Projection by 27 bx χ yr b y bx c bz χ xr z fr χ r bz c bx b y χ xr−n 1 by bx χ yr−n 2 Fig. 2 The representation of spins in terms of four Majorana fermions is shown in the left.

As discussed in the introduction, fractionalization is another prominent feature of QSLs, similar to the appearance of the emergent gauge structure. All together, these features make the Kitaev model a prime example of a QSL. 3 Experimental Realization 33 exact solubility it has become the workhorse for model calculations of topologically ordered phases in 2D. The pure honeycomb model as described until now harbors gapless and gapped QSL phases, see Fig. 4, and its excitations can be shown to obey Abelian statistics (Kitaev 2006).

G. Radaelli, Y. Singh, P. R. -W. J. Baker, C. Stock, J. Taylor, Spin waves and revised crystal structure of honeycomb iridate Na2IrO3. Phys. Rev. Lett. V. Chubukov, T. Jolicoeur, Dimer stability region in a frustrated quantum Heisenberg antiferromagnet. Phys. Rev. B 44(21), 12050–12053 (1991) R. M. Hayden, G. G. D. E. -W. Cheong, Z. Fisk, Spin waves and electronic interactions in La2CuO4. Phys. Rev. Lett. 86(23), 5377–5380 (2001) L. Cooper, D. B. O. R. J. S. M. Kurn, W. Ketterle, Bose-Einstein condensation in a gas of sodium atoms.

Download PDF sample

Rated 4.21 of 5 – based on 35 votes